Show how to use substitution to solve the following system of equations. Write the solution as an ordered pair.

4x - y = 10
y = 2x - 2

*Hint: Substitute 2x-2 for ‘y’ in the first equation: 4x - (2x - 2)= 10

Then solve for ‘x’. Use your answer for 'x' to solve for 'y'.



Include in Your Answer:

The work used to solve for 'x'.
The work used to solve for 'y'.
Your final answer written as an ordered pair (x , y)

Answer:

Hi,

Step-by-step explanation:

Let say a the base of the triangle A and b the base of the triangle B.

[tex]a)\\\left\{\begin{array}{ccc}\dfrac{a*x}{2}&=&30\\\dfrac{b*(x+3)}{2}&=&32\\b=a-4\\\end{arraqy}\right.\\\\(i): a=\dfrac{60}{x}\\\\(ii): b=\dfrac{64}{x+3}\\\\b)\\\dfrac{64}{x+3}=\dfrac{60}{x}-4\\\\64x=(60-4x)*(x+3)\\\\4x^2+16x-180=0\\\\x^2+4x-45=0\\\\\Delta=16+4*45=196=14^2\\x=\dfrac{-4+14}{2}=5\ or\ x=\dfrac{-4-14}{2}=-9\ (impossible)\\So\ x=5,\ a=\dfrac{60}{5}=12, b=\dfrac{64}{5+3}=8\\\\Area\ of\ A=12*5/2=30\\Area\ of\ B=8*8/2=32\\\\Height\ of\ triangle\ B=x+3=5+3=8.\\[/tex]

Step-by-step explanation:

180 minus 34 degrees gives 146° not that sure

Answer:

A. $181

Step-by-step explanation:

First get rid of the parking fee:

15*3 = 45

588 - 45 = 543

Then solve per night:

543/3 = 181

Have a great day! :)

Answer:

A, 181

Step-by-step explanation: first multiply 3 by 15 to get 45

Then subtract 45 from 588 to get 543

finally, divide 543 by 3 days to get $181

Answer: The answer is C.

Step-by-step explanation: This is because reflecting a point from Quadrant 1 over the y-axis always gets you a result from Quadrant 2.

It is equal. The same either way. :)

Hey there!

PROBLEM #1. 4 * 2,160

4 * 2,160
= 2,160 * 4

= 2,160 + 2,160 + 2,160 + 2,160

= 4,320 + 4,320

= 8,640
Therefore, the answer should be: 8,640

Problem #2. 4 * 2,610
4 * 2,610
= 2,610 * 4

= 2,610 + 2,610 + 2,610 + 2,610

= 5,220 + 5,220

= 10,440

Therefore, the answer should be:

10,440

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

2÷1 =2

2x1 =2

2-1 = 1

Step-by-step explanation:

Hopw this helps

Answer:

3.375

Step-by-step explanation:

divide 3/8 and you get 0.375 then add 3 and you get 3.375

Answer:

1. C 2. A 3. B

Step-by-step explanation:

Step 1: 12x - 6 = 10 divided by 2 is 6x - 3 = 5

Step 2: When you add three to the left side of the equation the negative 3and positive 3 cancel out and when you add three to the right side of the equation 5 + 3 = 8

Step 3: multiplying both sides by 1/6. 1/6 is the reciprocal of 6 so they cancel out. 1/6 times 8 is 8/6 which condenses to 4/3 in simple terms.

Answer:

1. 136.709%

2. $10.4128

3. $ 45.556

4. 17.044%

Hope this helps and I'm not too late!

P.s if you do fail this ain't on me /hjk

Answer:

I think the volume is 31.5.

Step-by-step explanation:

Since you didn't include the original numbers for the base area, I just square rooted 9 because there's no other number other than 1 that you would multiply to get 9. Since volume is L*W*H I put 3 for the w and h (because 3*3 is 9) and then I multiplied 9 by 3.5 or 3 and 1/2 (the same thing) to get 31.5. So the volume is 31.5.

Answer:

I think the volume is 31.5.

Hope this helps bro

Step-by-step explanation:

Answer:

5) Y = 144

Step-by-step explanation:

[tex]\frac{Y}{1.8} = 80[/tex]

Bring 1.8 from the numerator to the denominator and change the sign from divide to multiply. Also, the 1.8 switches sides so the equation looks like:

Y = 80*1.8

Y = 144

Hence, Y is equal to 144.

Hope this helps!!!

Please mark me as brainliest!!!

Answer:

132

Step-by-step explanation:

No way you can find the whole area with one solution. So we have to go by each shape.

Let's start with the triangle on top, only one part of it. We know that half of the base is 3. We could go long and hard and use the pythagorean theorem and then repeat that 8 times. Instead, you can imagine moving the 2 triangles into a rectangle. Now you have a rectangle that is 3x4 inches. Repeat 4 times for each of the triangles. Then just the square which is 6x6. Add them and bam!

Answer: x = 9

Angle B = 40

Step-by-step explanation:

5x-5 = 3x+13 Those angles are the same, they are corresponding angles

5x = 3x + 18 Solve the equation

2x = 18

x = 9

3(9)+13 Solve it

Angle B = 40

Hope this helps.

Answer:

y=bh

Step-by-step explanation:

Answer:

C = 2 pi r, so diameter is 40!

Step-by-step explanation

125.6 = 2 pi r

125.6 divided by 2 is 62.8.

Now its, 62.8 = pi times r

62.8/3.14 = 20.

r = 20

but this is the radius so the diameter is 2 times for than the radius. 20 x 2 = 40

Answer: it's A

Step-by-step explanation:

since the cost for hiring a plumber for three hours costs $120 so in graph A the graph has more likely stopped at $120 on the y axis which can be said as the cost axis too. I'm pretty sure the answer is A!

Answer:

The answer would be 7 dollars.

Step-by-step explanation:

Hope this helps!

Answer:

$7

Step-by-step explanation:

84 divided by 12 is 7 so it would be 7 dollars

Answer: x=15

Step-by-step explanation:

x/3+1= 6

Step 1: Subtract 1 from both sides (always do inverse operations with the number, not the x term(s))

x/3 + 1-1 = 6-1

x/3= 5

Step 2: Now we need to isolate x (get it on its own). To do this, we must move the 3 to the other side, which we will do by multiplying the 3 and the 5 (as since the 3 was used for divisision, its inverse operation is multiplication).

x/3 = 5

x = 5x3

x= 15

Step 3: Check by using PITA, or "Plugging In the Answers"

We came to the conclusion that x=15. Now, we can "plug in", or substitute the x in the equation for 15:

x/3 + 1= 6

15/3 + 1= 6

5+ 1= 6

6=6

Correct ✔️

Answer:

X = 24

Step-by-step explanation:

3 + 1 = 4

X/4 = 6

Multiply both sides by 4

X = 24

Answer:

Surface area = 136 cm²    Volume = 80cm³

Step-by-step explanation:

Surface Area = face 1 + face 2 + face 3 + face 4+ face 5 + face 6

SA = 2(4) + 2(4) + 2(10) + 2(10) + 4(10) + 4(10)

SA = 8 + 8 + 20 + 20 + 40 + 40

SA = 16 + 40 + 80

SA = 136

----------------------

Volume = l*w*h

Volume = 4*2*10

Volume = 8*10

Volume = 80

Answer:

4

Step-by-step explanation:

*

Answer:

1. A rotation of 90°.

2. A reflection in the y-axis.

4. A translation of 3 units to the left.

Answer:

90 degree rotation

Step-by-step explanation:

pls give brainleist

:)

Answer:

5

Step-by-step explanation:

The only way to get a whole number is to divide 753295 by 5.

Answer:

none of those

Step-by-step explanation:

A trapezoid is a 4-sided shape with 1 parallel side

Could you pls choose this as brainliest???!!!

Answer:

Complementary Angles

Step-by-step explanation:

They are both in right angles